77631 has 8 divisors (see below), whose sum is σ = 104880. Its totient is φ = 51072.

The previous prime is 77621. The next prime is 77641. The reversal of 77631 is 13677.

It is an interprime number because it is at equal distance from previous prime (77621) and next prime (77641).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 77631 - 2¹⁰ = 76607 is a prime.

It is a super-2 number, since 2×77631² = 12053144322, which contains 22 as substring.

It is a nialpdrome in base 7 and base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225 + ... + 453.

It is an arithmetic number, because the mean of its divisors is an integer number (13110).

2⁷⁷⁶³¹ is an apocalyptic number.

77631 is a deficient number, since it is larger than the sum of its proper divisors (27249).

77631 is a wasteful number, since it uses less digits than its factorization.

77631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345.

The product of its digits is 882, while the sum is 24.

The square root of 77631 is about 278.6234017451. The cubic root of 77631 is about 42.6591037485.

The spelling of 77631 in words is "seventy-seven thousand, six hundred thirty-one".