45981961 has 3 divisors (see below), whose sum is σ = 45988743. Its totient is φ = 45975180.

The previous prime is 45981953. The next prime is 45981973. The reversal of 45981961 is 16918954.

The square root of 45981961 is 6781.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 19971961 + 26010000 = 4469^2 + 5100^2 .

It is not a de Polignac number, because 45981961 - 2³ = 45981953 is a prime.

It is a super-2 number, since 2×45981961² = 4228681474811042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45981941) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3391 + ... + 10171.

It is an arithmetic number, because the mean of its divisors is an integer number (15329581).

Almost surely, 2^45981961 is an apocalyptic number.

45981961 is the 6781-st square number.

45981961 is the 3391-st centered octagonal number.

It is an amenable number.

45981961 is a deficient number, since it is larger than the sum of its proper divisors (6782).

45981961 is an frugal number, since it uses more digits than its factorization.

45981961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13562 (or 6781 counting only the distinct ones).

The product of its digits is 77760, while the sum is 43.

The cubic root of 45981961 is about 358.2579443108.

The spelling of 45981961 in words is "forty-five million, nine hundred eighty-one thousand, nine hundred sixty-one".