34054461 has 72 divisors (see below), whose sum is σ = 61461504. Its totient is φ = 18083520.

The previous prime is 34054459. The next prime is 34054481. The reversal of 34054461 is 16445043.

It is not a de Polignac number, because 34054461 - 2¹ = 34054459 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34054481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 642511 + ... + 642563.

It is an arithmetic number, because the mean of its divisors is an integer number (853632).

Almost surely, 2^34054461 is an apocalyptic number.

34054461 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34054461 is a deficient number, since it is larger than the sum of its proper divisors (27407043).

34054461 is a wasteful number, since it uses less digits than its factorization.

34054461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 34054461 is about 5835.6200184728. The cubic root of 34054461 is about 324.1340608917.

The spelling of 34054461 in words is "thirty-four million, fifty-four thousand, four hundred sixty-one".