36961 has 4 divisors (see below), whose sum is σ = 38592. Its totient is φ = 35332.

The previous prime is 36947. The next prime is 36973. The reversal of 36961 is 16963.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 36961 - 2⁵ = 36929 is a prime.

It is a super-2 number, since 2×36961² = 2732231042, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36961.

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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 781 + ... + 826.

It is an arithmetic number, because the mean of its divisors is an integer number (9648).

2³⁶⁹⁶¹ is an apocalyptic number.

It is an amenable number.

36961 is a deficient number, since it is larger than the sum of its proper divisors (1631).

36961 is a wasteful number, since it uses less digits than its factorization.

36961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630.

The product of its digits is 972, while the sum is 25.

The square root of 36961 is about 192.2524382160. The cubic root of 36961 is about 33.3105065940.

It can be divided in two parts, 36 and 961, that multiplied together give a square (34596 = 186²).

The spelling of 36961 in words is "thirty-six thousand, nine hundred sixty-one".