36951 has 8 divisors (see below), whose sum is σ = 50160. Its totient is φ = 24192.

The previous prime is 36947. The next prime is 36973. The reversal of 36951 is 15963.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 36951 - 2² = 36947 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36951.

It is not an unprimeable number, because it can be changed into a prime (36901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 271 + ... + 383.

It is an arithmetic number, because the mean of its divisors is an integer number (6270).

2³⁶⁹⁵¹ is an apocalyptic number.

36951 is a deficient number, since it is larger than the sum of its proper divisors (13209).

36951 is a wasteful number, since it uses less digits than its factorization.

36951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225.

The product of its digits is 810, while the sum is 24.

The square root of 36951 is about 192.2264289842. The cubic root of 36951 is about 33.3075022100.

The spelling of 36951 in words is "thirty-six thousand, nine hundred fifty-one".