10012761 has 16 divisors (see below), whose sum is σ = 16182720. Its totient is φ = 6068160.

The previous prime is 10012759. The next prime is 10012763. The reversal of 10012761 is 16721001.

It is an interprime number because it is at equal distance from previous prime (10012759) and next prime (10012763).

It is not a de Polignac number, because 10012761 - 2¹ = 10012759 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10012763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16560 + ... + 17153.

It is an arithmetic number, because the mean of its divisors is an integer number (1011420).

Almost surely, 2^10012761 is an apocalyptic number.

10012761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10012761 is a deficient number, since it is larger than the sum of its proper divisors (6169959).

10012761 is a wasteful number, since it uses less digits than its factorization.

10012761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33733 (or 33727 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 10012761 is about 3164.2947081459. The cubic root of 10012761 is about 215.5350725194.

Adding to 10012761 its reverse (16721001), we get a palindrome (26733762).

The spelling of 10012761 in words is "ten million, twelve thousand, seven hundred sixty-one".