61004 has 12 divisors (see below), whose sum is σ = 108528. Its totient is φ = 30000.

The previous prime is 61001. The next prime is 61007. The reversal of 61004 is 40016.

It is an interprime number because it is at equal distance from previous prime (61001) and next prime (61007).

It is a hoax number, since the sum of its digits (11) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (61001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 329 + ... + 479.

It is an arithmetic number, because the mean of its divisors is an integer number (9044).

2⁶¹⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

61004 is a deficient number, since it is larger than the sum of its proper divisors (47524).

61004 is a wasteful number, since it uses less digits than its factorization.

61004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 61004 is about 246.9898783351. The cubic root of 61004 is about 39.3658322488.

The spelling of 61004 in words is "sixty-one thousand, four".