82007534 has 32 divisors (see below), whose sum is σ = 153100800. Its totient is φ = 32145120.

The previous prime is 82007533. The next prime is 82007539. The reversal of 82007534 is 43570028.

It is a happy number.

It is a super-2 number, since 2×82007534² = 13450471265522312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 82007497 and 82007506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82007533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2399 + ... + 13029.

It is an arithmetic number, because the mean of its divisors is an integer number (4784400).

Almost surely, 2^82007534 is an apocalyptic number.

82007534 is a deficient number, since it is larger than the sum of its proper divisors (71093266).

82007534 is a wasteful number, since it uses less digits than its factorization.

82007534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10688.

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 82007534 is about 9055.8011241414. The cubic root of 82007534 is about 434.4614535855.

The spelling of 82007534 in words is "eighty-two million, seven thousand, five hundred thirty-four".