77231 has 16 divisors (see below), whose sum is σ = 103680. Its totient is φ = 55680.

The previous prime is 77213. The next prime is 77237. The reversal of 77231 is 13277.

It is a cyclic number.

It is not a de Polignac number, because 77231 - 2⁶ = 77167 is a prime.

It is a super-2 number, since 2×77231² = 11929254722, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

77231 is a modest number, since divided by 231 gives 77 as remainder.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1280 + ... + 1338.

It is an arithmetic number, because the mean of its divisors is an integer number (6480).

2⁷⁷²³¹ is an apocalyptic number.

77231 is a deficient number, since it is larger than the sum of its proper divisors (26449).

77231 is a wasteful number, since it uses less digits than its factorization.

77231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94.

The product of its digits is 294, while the sum is 20.

The square root of 77231 is about 277.9046599106. The cubic root of 77231 is about 42.5857093874.

It can be divided in two parts, 772 and 31, that multiplied together give a palindrome (23932).

The spelling of 77231 in words is "seventy-seven thousand, two hundred thirty-one".