36007875 has 64 divisors (see below), whose sum is σ = 68290560. Its totient is φ = 18712800.

The previous prime is 36007871. The next prime is 36007883. The reversal of 36007875 is 57870063.

It is not a de Polignac number, because 36007875 - 2² = 36007871 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36007871) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158512 + ... + 158738.

It is an arithmetic number, because the mean of its divisors is an integer number (1067040).

Almost surely, 2^36007875 is an apocalyptic number.

36007875 is a deficient number, since it is larger than the sum of its proper divisors (32282685).

36007875 is a wasteful number, since it uses less digits than its factorization.

36007875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 36007875 is about 6000.6562141153. The cubic root of 36007875 is about 330.2167996870.

The spelling of 36007875 in words is "thirty-six million, seven thousand, eight hundred seventy-five".