83488013 has 24 divisors (see below), whose sum is σ = 102989880. Its totient is φ = 67361280.

The previous prime is 83488007. The next prime is 83488019. The reversal of 83488013 is 31088438.

It is an interprime number because it is at equal distance from previous prime (83488007) and next prime (83488019).

It can be written as a sum of positive squares in 4 ways, for example, as 7414729 + 76073284 = 2723^2 + 8722^2 .

It is not a de Polignac number, because 83488013 - 2⁶ = 83487949 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83488019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57545 + ... + 58977.

It is an arithmetic number, because the mean of its divisors is an integer number (4291245).

Almost surely, 2^83488013 is an apocalyptic number.

It is an amenable number.

83488013 is a deficient number, since it is larger than the sum of its proper divisors (19501867).

83488013 is a wasteful number, since it uses less digits than its factorization.

83488013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 83488013 is about 9137.1775182493. The cubic root of 83488013 is about 437.0603156017.

It can be divided in two parts, 8348 and 8013, that added together give a palindrome (16361).

The spelling of 83488013 in words is "eighty-three million, four hundred eighty-eight thousand, thirteen".