772131 has 8 divisors (see below), whose sum is σ = 1036480. Its totient is φ = 511272.

The previous prime is 772127. The next prime is 772139. The reversal of 772131 is 131277.

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

It is not a de Polignac number, because 772131 - 2² = 772127 is a prime.

It is a super-2 number, since 2×772131² = 1192372562322, which contains 22 as substring.

It is a Duffinian number.

772131 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 772098 and 772107.

It is not an unprimeable number, because it can be changed into a prime (772139) 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, 301 + ... + 1278.

It is an arithmetic number, because the mean of its divisors is an integer number (129560).

2⁷⁷²¹³¹ is an apocalyptic number.

772131 is a deficient number, since it is larger than the sum of its proper divisors (264349).

772131 is a wasteful number, since it uses less digits than its factorization.

772131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745.

The product of its digits is 294, while the sum is 21.

The square root of 772131 is about 878.7098497229. The cubic root of 772131 is about 91.7410408336.

It can be divided in two parts, 772 and 131, that added together give a triangular number (903 = T₄₂).

The spelling of 772131 in words is "seven hundred seventy-two thousand, one hundred thirty-one".