124965 has 12 divisors (see below), whose sum is σ = 216684. Its totient is φ = 66624.

The previous prime is 124951. The next prime is 124979. The reversal of 124965 is 569421.

It is an interprime number because it is at equal distance from previous prime (124951) and next prime (124979).

It can be written as a sum of positive squares in 2 ways, for example, as 31329 + 93636 = 177^2 + 306^2 .

It is not a de Polignac number, because 124965 - 2¹⁰ = 123941 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1344 + ... + 1433.

It is an arithmetic number, because the mean of its divisors is an integer number (18057).

124965 is a Friedman number, since it can be written as (5^6*2-9)*4+1, using all its digits and the basic arithmetic operations.

2¹²⁴⁹⁶⁵ is an apocalyptic number.

124965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

124965 is a deficient number, since it is larger than the sum of its proper divisors (91719).

124965 is a wasteful number, since it uses less digits than its factorization.

124965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788 (or 2785 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 124965 is about 353.5038896533. The cubic root of 124965 is about 49.9953328977.

It can be divided in two parts, 124 and 965, that added together give a square (1089 = 33²).

The spelling of 124965 in words is "one hundred twenty-four thousand, nine hundred sixty-five".