82345627 has 24 divisors (see below), whose sum is σ = 103765536. Its totient is φ = 64770048.

The previous prime is 82345621. The next prime is 82345633. The reversal of 82345627 is 72654328.

It is an interprime number because it is at equal distance from previous prime (82345621) and next prime (82345633).

It is not a de Polignac number, because 82345627 - 2³ = 82345619 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82345621) 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, 163458 + ... + 163960.

It is an arithmetic number, because the mean of its divisors is an integer number (4323564).

Almost surely, 2^82345627 is an apocalyptic number.

82345627 is a deficient number, since it is larger than the sum of its proper divisors (21419909).

82345627 is a wasteful number, since it uses less digits than its factorization.

82345627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 780 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The square root of 82345627 is about 9074.4491292860. The cubic root of 82345627 is about 435.0576873334.

It can be divided in two parts, 8234 and 5627, that added together give a triangular number (13861 = T₁₆₆).

The spelling of 82345627 in words is "eighty-two million, three hundred forty-five thousand, six hundred twenty-seven".