59949 has 6 divisors (see below), whose sum is σ = 86606. Its totient is φ = 39960.

The previous prime is 59929. The next prime is 59951. The reversal of 59949 is 94995.

59949 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 59049 + 900 = 243^2 + 30^2 .

It is not a de Polignac number, because 59949 - 2⁸ = 59693 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59929) 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, 3322 + ... + 3339.

2⁵⁹⁹⁴⁹ is an apocalyptic number.

It is an amenable number.

59949 is a deficient number, since it is larger than the sum of its proper divisors (26657).

59949 is a wasteful number, since it uses less digits than its factorization.

59949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6667 (or 6664 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 59949 is about 244.8448488329. The cubic root of 59949 is about 39.1375811425.

Adding to 59949 its product of digits (14580), we get a square (74529 = 273²).

Subtracting from 59949 its product of digits (14580), we obtain a square (45369 = 213²).

The spelling of 59949 in words is "fifty-nine thousand, nine hundred forty-nine".