772541 has 16 divisors (see below), whose sum is σ = 983040. Its totient is φ = 589680.

The previous prime is 772537. The next prime is 772567. The reversal of 772541 is 145277.

772541 = 74² + 75² + ... + 139².

It is not a de Polignac number, because 772541 - 2² = 772537 is a prime.

It is a Duffinian number.

772541 is a modest number, since divided by 2541 gives 77 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 772541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6020 + ... + 6146.

It is an arithmetic number, because the mean of its divisors is an integer number (61440).

2⁷⁷²⁵⁴¹ is an apocalyptic number.

It is an amenable number.

772541 is a deficient number, since it is larger than the sum of its proper divisors (210499).

772541 is a wasteful number, since it uses less digits than its factorization.

772541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224.

The product of its digits is 1960, while the sum is 26.

The square root of 772541 is about 878.9431153380. The cubic root of 772541 is about 91.7572760627.

Subtracting from 772541 its reverse (145277), we obtain a square (627264 = 792²).

The spelling of 772541 in words is "seven hundred seventy-two thousand, five hundred forty-one".