762561 has 16 divisors (see below), whose sum is σ = 1150720. Its totient is φ = 498960.

The previous prime is 762557. The next prime is 762563. The reversal of 762561 is 165267.

It is not a de Polignac number, because 762561 - 2² = 762557 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

762561 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (762563) 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, 1416 + ... + 1878.

It is an arithmetic number, because the mean of its divisors is an integer number (71920).

2⁷⁶²⁵⁶¹ is an apocalyptic number.

It is an amenable number.

762561 is a deficient number, since it is larger than the sum of its proper divisors (388159).

762561 is a wasteful number, since it uses less digits than its factorization.

762561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 527 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 762561 is about 873.2473876285. The cubic root of 762561 is about 91.3604429917.

The spelling of 762561 in words is "seven hundred sixty-two thousand, five hundred sixty-one".