36777249 has 12 divisors (see below), whose sum is σ = 54954900. Its totient is φ = 23672544.

The previous prime is 36777233. The next prime is 36777263. The reversal of 36777249 is 94277763.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 21095649 + 15681600 = 4593^2 + 3960^2 .

It is not a de Polignac number, because 36777249 - 2⁴ = 36777233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36777229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70194 + ... + 70715.

It is an arithmetic number, because the mean of its divisors is an integer number (4579575).

Almost surely, 2^36777249 is an apocalyptic number.

It is an amenable number.

36777249 is a deficient number, since it is larger than the sum of its proper divisors (18177651).

36777249 is a wasteful number, since it uses less digits than its factorization.

36777249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140944 (or 140941 counting only the distinct ones).

The product of its digits is 444528, while the sum is 45.

The square root of 36777249 is about 6064.4248696806. The cubic root of 36777249 is about 332.5521398627.

The spelling of 36777249 in words is "thirty-six million, seven hundred seventy-seven thousand, two hundred forty-nine".