967968553 has 2 divisors, whose sum is σ = 967968554. Its totient is φ = 967968552.

The previous prime is 967968527. The next prime is 967968577. The reversal of 967968553 is 355869769.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 551686144 + 416282409 = 23488^2 + 20403^2 .

It is a cyclic number.

It is not a de Polignac number, because 967968553 - 2¹³ = 967960361 is a prime.

It is not a weakly prime, because it can be changed into another prime (967968503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 483984276 + 483984277.

It is an arithmetic number, because the mean of its divisors is an integer number (483984277).

Almost surely, 2^967968553 is an apocalyptic number.

It is an amenable number.

967968553 is a deficient number, since it is larger than the sum of its proper divisors (1).

967968553 is an equidigital number, since it uses as much as digits as its factorization.

967968553 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12247200, while the sum is 58.

The square root of 967968553 is about 31112.1929956729. The cubic root of 967968553 is about 989.2067764393.

The spelling of 967968553 in words is "nine hundred sixty-seven million, nine hundred sixty-eight thousand, five hundred fifty-three".