61004007 has 24 divisors (see below), whose sum is σ = 95073264. Its totient is φ = 37549824.

The previous prime is 61003993. The next prime is 61004039. The reversal of 61004007 is 70040016.

It is not a de Polignac number, because 61004007 - 2⁴ = 61003991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61084007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4348 + ... + 11870.

It is an arithmetic number, because the mean of its divisors is an integer number (3961386).

Almost surely, 2^61004007 is an apocalyptic number.

61004007 is a deficient number, since it is larger than the sum of its proper divisors (34069257).

61004007 is a wasteful number, since it uses less digits than its factorization.

61004007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7599 (or 7596 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 61004007 is about 7810.5061935831. The cubic root of 61004007 is about 393.6583375446.

The spelling of 61004007 in words is "sixty-one million, four thousand, seven".