62985 has 32 divisors (see below), whose sum is σ = 120960. Its totient is φ = 27648.

The previous prime is 62983. The next prime is 62987. The reversal of 62985 is 58926.

62985 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (62983) and next prime (62987).

It is not a de Polignac number, because 62985 - 2¹ = 62983 is a prime.

It is a super-2 number, since 2×62985² = 7934220450, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

62985 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (62981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3306 + ... + 3324.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2⁶²⁹⁸⁵ is an apocalyptic number.

62985 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

62985 is a deficient number, since it is larger than the sum of its proper divisors (57975).

62985 is a wasteful number, since it uses less digits than its factorization.

62985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57.

The product of its digits is 4320, while the sum is 30.

The square root of 62985 is about 250.9681254662. The cubic root of 62985 is about 39.7874138464.

The spelling of 62985 in words is "sixty-two thousand, nine hundred eighty-five".