45971 has 2 divisors, whose sum is σ = 45972. Its totient is φ = 45970.

The previous prime is 45959. The next prime is 45979. The reversal of 45971 is 17954.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 45971 - 2¹⁴ = 29587 is a prime.

It is a super-2 number, since 2×45971² = 4226665682, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 45971.

It is not a weakly prime, because it can be changed into another prime (45979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22985 + 22986.

It is an arithmetic number, because the mean of its divisors is an integer number (22986).

2⁴⁵⁹⁷¹ is an apocalyptic number.

45971 is a deficient number, since it is larger than the sum of its proper divisors (1).

45971 is an equidigital number, since it uses as much as digits as its factorization.

45971 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1260, while the sum is 26.

The square root of 45971 is about 214.4084886379. The cubic root of 45971 is about 35.8229475339.

The spelling of 45971 in words is "forty-five thousand, nine hundred seventy-one".