61407 has 6 divisors (see below), whose sum is σ = 88712. Its totient is φ = 40932.

The previous prime is 61403. The next prime is 61409. The reversal of 61407 is 70416.

It is not a de Polignac number, because 61407 - 2² = 61403 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 61407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3403 + ... + 3420.

2⁶¹⁴⁰⁷ is an apocalyptic number.

61407 is a deficient number, since it is larger than the sum of its proper divisors (27305).

61407 is a wasteful number, since it uses less digits than its factorization.

61407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6829 (or 6826 counting only the distinct ones).

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

The square root of 61407 is about 247.8043583152. The cubic root of 61407 is about 39.4523272541.

Adding to 61407 its sum of digits (18), we get a triangular number (61425 = T₃₅₀).

Subtracting 61407 from its reverse (70416), we obtain a palindrome (9009).

The spelling of 61407 in words is "sixty-one thousand, four hundred seven".