123962085 has 48 divisors (see below), whose sum is σ = 232478064. Its totient is φ = 60742656.

The previous prime is 123962039. The next prime is 123962089. The reversal of 123962085 is 580269321.

123962085 is a `hidden beast` number, since 1 + 23 + 9 + 620 + 8 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8485569 + 115476516 = 2913^2 + 10746^2 .

It is not a de Polignac number, because 123962085 - 2¹⁸ = 123699941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123962089) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182767 + ... + 183443.

It is an arithmetic number, because the mean of its divisors is an integer number (4843293).

Almost surely, 2^123962085 is an apocalyptic number.

123962085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123962085 is a deficient number, since it is larger than the sum of its proper divisors (108515979).

123962085 is a wasteful number, since it uses less digits than its factorization.

123962085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 123962085 is about 11133.8261617469. The cubic root of 123962085 is about 498.6122652814.

The spelling of 123962085 in words is "one hundred twenty-three million, nine hundred sixty-two thousand, eighty-five".