36788265 has 24 divisors (see below), whose sum is σ = 64034568. Its totient is φ = 19537920.

The previous prime is 36788251. The next prime is 36788273. The reversal of 36788265 is 56288763.

36788265 = 243² + 244² + ... + 499².

It can be written as a sum of positive squares in 4 ways, for example, as 5517801 + 31270464 = 2349^2 + 5592^2 .

It is not a de Polignac number, because 36788265 - 2⁵ = 36788233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 36788265.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9975 + ... + 13155.

It is an arithmetic number, because the mean of its divisors is an integer number (2668107).

Almost surely, 2^36788265 is an apocalyptic number.

It is an amenable number.

36788265 is a deficient number, since it is larger than the sum of its proper divisors (27246303).

36788265 is a wasteful number, since it uses less digits than its factorization.

36788265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3449 (or 3446 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 36788265 is about 6065.3330493881. Note that the first 3 decimals coincide. The cubic root of 36788265 is about 332.5853399956.

The spelling of 36788265 in words is "thirty-six million, seven hundred eighty-eight thousand, two hundred sixty-five".