36958961 has 8 divisors (see below), whose sum is σ = 39895464. Its totient is φ = 34035840.

The previous prime is 36958949. The next prime is 36958981. The reversal of 36958961 is 16985963.

It can be written as a sum of positive squares in 4 ways, for example, as 429025 + 36529936 = 655^2 + 6044^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-36958961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36958981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2831 + ... + 9051.

It is an arithmetic number, because the mean of its divisors is an integer number (4986933).

Almost surely, 2^36958961 is an apocalyptic number.

It is an amenable number.

36958961 is a deficient number, since it is larger than the sum of its proper divisors (2936503).

36958961 is a wasteful number, since it uses less digits than its factorization.

36958961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6691.

The product of its digits is 349920, while the sum is 47.

The square root of 36958961 is about 6079.3882093513. The cubic root of 36958961 is about 333.0989404408.

The spelling of 36958961 in words is "thirty-six million, nine hundred fifty-eight thousand, nine hundred sixty-one".