83335137 has 24 divisors (see below), whose sum is σ = 115891776. Its totient is φ = 53258688.

The previous prime is 83335123. The next prime is 83335157. The reversal of 83335137 is 73153338.

It is not a de Polignac number, because 83335137 - 2¹² = 83331041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 83335098 and 83335107.

It is not an unprimeable number, because it can be changed into a prime (83335157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422923 + ... + 423119.

It is an arithmetic number, because the mean of its divisors is an integer number (4828824).

Almost surely, 2^83335137 is an apocalyptic number.

It is an amenable number.

83335137 is a deficient number, since it is larger than the sum of its proper divisors (32556639).

83335137 is a wasteful number, since it uses less digits than its factorization.

83335137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 340 counting only the distinct ones).

The product of its digits is 22680, while the sum is 33.

The square root of 83335137 is about 9128.8080821102. The cubic root of 83335137 is about 436.7933836413.

The spelling of 83335137 in words is "eighty-three million, three hundred thirty-five thousand, one hundred thirty-seven".