57629961 has 40 divisors (see below), whose sum is σ = 90604800. Its totient is φ = 36456480.

The previous prime is 57629959. The next prime is 57629963. The reversal of 57629961 is 16992675.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (57629959) and next prime (57629963).

It is not a de Polignac number, because 57629961 - 2¹ = 57629959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57629963) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 147955 + ... + 148343.

It is an arithmetic number, because the mean of its divisors is an integer number (2265120).

Almost surely, 2^57629961 is an apocalyptic number.

It is an amenable number.

57629961 is a deficient number, since it is larger than the sum of its proper divisors (32974839).

57629961 is a wasteful number, since it uses less digits than its factorization.

57629961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 482 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 57629961 is about 7591.4399819797. The cubic root of 57629961 is about 386.2627029473.

The spelling of 57629961 in words is "fifty-seven million, six hundred twenty-nine thousand, nine hundred sixty-one".