45961 has 8 divisors (see below), whose sum is σ = 50400. Its totient is φ = 41760.

The previous prime is 45959. The next prime is 45971. The reversal of 45961 is 16954.

45961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 45961 - 2¹ = 45959 is a prime.

It is a super-2 number, since 2×45961² = 4224827042, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (45971) 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, 750 + ... + 808.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2⁴⁵⁹⁶¹ is an apocalyptic number.

45961 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

45961 is a deficient number, since it is larger than the sum of its proper divisors (4439).

45961 is a wasteful number, since it uses less digits than its factorization.

45961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119.

The product of its digits is 1080, while the sum is 25.

The square root of 45961 is about 214.3851673974. The cubic root of 45961 is about 35.8203498423.

The spelling of 45961 in words is "forty-five thousand, nine hundred sixty-one".