66146031 has 72 divisors (see below), whose sum is σ = 121793040. Its totient is φ = 35368704.

The previous prime is 66146029. The next prime is 66146057. The reversal of 66146031 is 13064166.

It is not a de Polignac number, because 66146031 - 2¹ = 66146029 is a prime.

It is a super-2 number, since 2×66146031² = 8750594834105922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 66145986 and 66146004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66146131) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 382261 + ... + 382433.

It is an arithmetic number, because the mean of its divisors is an integer number (1691570).

Almost surely, 2^66146031 is an apocalyptic number.

66146031 is a deficient number, since it is larger than the sum of its proper divisors (55647009).

66146031 is a wasteful number, since it uses less digits than its factorization.

66146031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 66146031 is about 8133.0210254247. The cubic root of 66146031 is about 404.4218362061.

The spelling of 66146031 in words is "sixty-six million, one hundred forty-six thousand, thirty-one".