36800575 has 48 divisors (see below), whose sum is σ = 55996416. Its totient is φ = 23443200.

The previous prime is 36800573. The next prime is 36800579. The reversal of 36800575 is 57500863.

It is a happy number.

It is not a de Polignac number, because 36800575 - 2¹ = 36800573 is a prime.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 36800575.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36800573) 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, 164914 + ... + 165136.

It is an arithmetic number, because the mean of its divisors is an integer number (1166592).

Almost surely, 2^36800575 is an apocalyptic number.

36800575 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

36800575 is a deficient number, since it is larger than the sum of its proper divisors (19195841).

36800575 is a wasteful number, since it uses less digits than its factorization.

36800575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 36800575 is about 6066.3477480276. The cubic root of 36800575 is about 332.6224321586.

It can be divided in two parts, 36800 and 575, that multiplied together give a square (21160000 = 4600²).

The spelling of 36800575 in words is "thirty-six million, eight hundred thousand, five hundred seventy-five".