36037827 has 48 divisors (see below), whose sum is σ = 62270208. Its totient is φ = 19656000.

The previous prime is 36037823. The next prime is 36037829. The reversal of 36037827 is 72873063.

It is not a de Polignac number, because 36037827 - 2² = 36037823 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 36037791 and 36037800.

It is not an unprimeable number, because it can be changed into a prime (36037823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143452 + ... + 143702.

It is an arithmetic number, because the mean of its divisors is an integer number (1297296).

Almost surely, 2^36037827 is an apocalyptic number.

36037827 is a deficient number, since it is larger than the sum of its proper divisors (26232381).

36037827 is a wasteful number, since it uses less digits than its factorization.

36037827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 36037827 is about 6003.1514223781. The cubic root of 36037827 is about 330.3083344086.

It can be divided in two parts, 36037 and 827, that added together give a square (36864 = 192²).

The spelling of 36037827 in words is "thirty-six million, thirty-seven thousand, eight hundred twenty-seven".