77031 has 12 divisors (see below), whose sum is σ = 115752. Its totient is φ = 51192.

The previous prime is 77029. The next prime is 77041. The reversal of 77031 is 13077.

It is not a de Polignac number, because 77031 - 2^{1} = 77029 is a prime.

It is a super-2 number, since 2×77031^{2} = 11867549922, which contains 22 as substring.

It is an Ulam number.

It is a nialpdrome in base 5.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 76995 and 77013.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 77031.

It is not an unprimeable number, because it can be changed into a prime (77041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85 + ... + 401.

It is an arithmetic number, because the mean of its divisors is an integer number (9646).

2^{77031} is an apocalyptic number.

77031 is a deficient number, since it is larger than the sum of its proper divisors (38721).

77031 is an equidigital number, since it uses as much as digits as its factorization.

77031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 147, while the sum is 18.

The square root of 77031 is about 277.5445910120. The cubic root of 77031 is about 42.5489171469.

The spelling of 77031 in words is "seventy-seven thousand, thirty-one".

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