77106331 has 16 divisors (see below), whose sum is σ = 82944000. Its totient is φ = 71517600.

The previous prime is 77106319. The next prime is 77106343. The reversal of 77106331 is 13360177.

It is an interprime number because it is at equal distance from previous prime (77106319) and next prime (77106343).

It is a cyclic number.

It is not a de Polignac number, because 77106331 - 2⁵ = 77106299 is a prime.

It is a super-2 number, since 2×77106331² = 11890772560563122, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 77106331.

It is not an unprimeable number, because it can be changed into a prime (77106371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178686 + ... + 179116.

It is an arithmetic number, because the mean of its divisors is an integer number (5184000).

Almost surely, 2^77106331 is an apocalyptic number.

77106331 is a deficient number, since it is larger than the sum of its proper divisors (5837669).

77106331 is a wasteful number, since it uses less digits than its factorization.

77106331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690.

The product of its (nonzero) digits is 2646, while the sum is 28.

The square root of 77106331 is about 8781.0210681902. The cubic root of 77106331 is about 425.6278259591.

It can be divided in two parts, 7710 and 6331, that added together give a palindrome (14041).

The spelling of 77106331 in words is "seventy-seven million, one hundred six thousand, three hundred thirty-one".