1034057961 has 16 divisors (see below), whose sum is σ = 1538521920. Its totient is φ = 686409120.

The previous prime is 1034057933. The next prime is 1034058001. The reversal of 1034057961 is 1697504301.

It is not a de Polignac number, because 1034057961 - 2¹⁴ = 1034041577 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1034057261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75895 + ... + 88476.

It is an arithmetic number, because the mean of its divisors is an integer number (96157620).

Almost surely, 2^1034057961 is an apocalyptic number.

It is an amenable number.

1034057961 is a deficient number, since it is larger than the sum of its proper divisors (504463959).

1034057961 is a wasteful number, since it uses less digits than its factorization.

1034057961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164613 (or 164607 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1034057961 is about 32156.7716196760. The cubic root of 1034057961 is about 1011.2261555014.

The spelling of 1034057961 in words is "one billion, thirty-four million, fifty-seven thousand, nine hundred sixty-one".