36876753 has 36 divisors (see below), whose sum is σ = 56848428. Its totient is φ = 23016960.

The previous prime is 36876743. The next prime is 36876769. The reversal of 36876753 is 35767863.

It can be written as a sum of positive squares in 6 ways, for example, as 1557504 + 35319249 = 1248^2 + 5943^2 .

It is not a de Polignac number, because 36876753 - 2⁴ = 36876737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36876699 and 36876708.

It is not an unprimeable number, because it can be changed into a prime (36876743) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 505125 + ... + 505197.

It is an arithmetic number, because the mean of its divisors is an integer number (1579123).

Almost surely, 2^36876753 is an apocalyptic number.

It is an amenable number.

36876753 is a deficient number, since it is larger than the sum of its proper divisors (19971675).

36876753 is a wasteful number, since it uses less digits than its factorization.

36876753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 154 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 36876753 is about 6072.6232387659. The cubic root of 36876753 is about 332.8517858934.

It can be divided in two parts, 3687 and 6753, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 36876753 in words is "thirty-six million, eight hundred seventy-six thousand, seven hundred fifty-three".