diff --git a/iccread.c b/iccread.c
index 942102a..2b9926d 100644
--- a/iccread.c
+++ b/iccread.c
@@ -80,7 +80,10 @@
 
 static uint32_t read_u32(struct mem_source *mem, size_t offset)
 {
-	if (offset + 4 > mem->size) {
+	/* Subtract from mem->size instead of the more intuitive adding to offset.
+	 * This avoids overflowing offset. The subtraction is safe because
+	 * mem->size is guaranteed to be > 4 */
+	if (offset > mem->size - 4) {
 		invalid_source(mem, "Invalid offset");
 		return 0;
 	} else {
@@ -90,7 +93,7 @@
 
 static uint16_t read_u16(struct mem_source *mem, size_t offset)
 {
-	if (offset + 2 > mem->size) {
+	if (offset > mem->size - 2) {
 		invalid_source(mem, "Invalid offset");
 		return 0;
 	} else {
@@ -100,7 +103,7 @@
 
 static uint8_t read_u8(struct mem_source *mem, size_t offset)
 {
-	if (offset + 1 > mem->size) {
+	if (offset > mem->size - 1) {
 		invalid_source(mem, "Invalid offset");
 		return 0;
 	} else {
@@ -668,6 +671,7 @@
 	source.buf = mem;
 	source.size = size;
 	source.valid = true;
+
 	length = read_u32(src, 0);
 	if (length <= size) {
 		// shrink the area that we can read if appropriate
@@ -676,6 +680,10 @@
 		return INVALID_PROFILE;
 	}
 
+	/* ensure that the profile size is sane so it's easier to reason about */
+	if (source.size <= 64 || source.size >= MAX_PROFILE_SIZE)
+		return INVALID_PROFILE;
+
 	profile = qcms_profile_create();
 	if (!profile)
 		return NO_MEM_PROFILE;