34956561 has 32 divisors (see below), whose sum is σ = 51527680. Its totient is φ = 20995200.

The previous prime is 34956557. The next prime is 34956563. The reversal of 34956561 is 16565943.

It is not a de Polignac number, because 34956561 - 2² = 34956557 is a prime.

It is a super-2 number, since 2×34956561² = 2443922313893442, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34956563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128856 + ... + 129126.

It is an arithmetic number, because the mean of its divisors is an integer number (1610240).

Almost surely, 2^34956561 is an apocalyptic number.

34956561 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34956561 is a deficient number, since it is larger than the sum of its proper divisors (16571119).

34956561 is a wasteful number, since it uses less digits than its factorization.

34956561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397.

The product of its digits is 97200, while the sum is 39.

The square root of 34956561 is about 5912.4073777100. The cubic root of 34956561 is about 326.9712494245.

The spelling of 34956561 in words is "thirty-four million, nine hundred fifty-six thousand, five hundred sixty-one".