137827963 has 8 divisors (see below), whose sum is σ = 169634528. Its totient is φ = 109050624.

The previous prime is 137827927. The next prime is 137827967. The reversal of 137827963 is 369728731.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137827963 - 2⁹ = 137827451 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137827967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 757206 + ... + 757387.

It is an arithmetic number, because the mean of its divisors is an integer number (21204316).

Almost surely, 2^137827963 is an apocalyptic number.

137827963 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

137827963 is a deficient number, since it is larger than the sum of its proper divisors (31806565).

137827963 is a wasteful number, since it uses less digits than its factorization.

137827963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514613.

The product of its digits is 381024, while the sum is 46.

The square root of 137827963 is about 11740.0154599557. The cubic root of 137827963 is about 516.5500951484.

It can be divided in two parts, 137 and 827963, that added together give a square (828100 = 910²).

The spelling of 137827963 in words is "one hundred thirty-seven million, eight hundred twenty-seven thousand, nine hundred sixty-three".