947965577 has 16 divisors (see below), whose sum is σ = 1092106512. Its totient is φ = 815063040.

The previous prime is 947965553. The next prime is 947965589. The reversal of 947965577 is 775569749.

It can be written as a sum of positive squares in 8 ways, for example, as 66113161 + 881852416 = 8131^2 + 29696^2 .

It is a cyclic number.

It is not a de Polignac number, because 947965577 - 2⁸ = 947965321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (947965597) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 674 + ... + 43547.

It is an arithmetic number, because the mean of its divisors is an integer number (68256657).

Almost surely, 2^947965577 is an apocalyptic number.

947965577 is a gapful number since it is divisible by the number (97) formed by its first and last digit.

It is an amenable number.

947965577 is a deficient number, since it is larger than the sum of its proper divisors (144140935).

947965577 is a wasteful number, since it uses less digits than its factorization.

947965577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44348.

The product of its digits is 16669800, while the sum is 59.

The square root of 947965577 is about 30789.0496280739. The cubic root of 947965577 is about 982.3453395403.

The spelling of 947965577 in words is "nine hundred forty-seven million, nine hundred sixty-five thousand, five hundred seventy-seven".