12661957 has 24 divisors (see below), whose sum is σ = 16799040. Its totient is φ = 9269760.

The previous prime is 12661949. The next prime is 12661973. The reversal of 12661957 is 75916621.

It is not a de Polignac number, because 12661957 - 2³ = 12661949 is a prime.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12661997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21969 + ... + 22537.

It is an arithmetic number, because the mean of its divisors is an integer number (699960).

Almost surely, 2^12661957 is an apocalyptic number.

12661957 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12661957 is a deficient number, since it is larger than the sum of its proper divisors (4137083).

12661957 is a wasteful number, since it uses less digits than its factorization.

12661957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 604 counting only the distinct ones).

The product of its digits is 22680, while the sum is 37.

The square root of 12661957 is about 3558.3643714493. The cubic root of 12661957 is about 233.0774607834.

It can be divided in two parts, 1266 and 1957, that added together give a palindrome (3223).

The spelling of 12661957 in words is "twelve million, six hundred sixty-one thousand, nine hundred fifty-seven".