67851 has 16 divisors (see below), whose sum is σ = 115200. Its totient is φ = 38664.

The previous prime is 67843. The next prime is 67853. The reversal of 67851 is 15876.

67851 = 63² + 64² + ... + 76².

It is not a de Polignac number, because 67851 - 2³ = 67843 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

67851 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (67853) 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, 10 + ... + 368.

It is an arithmetic number, because the mean of its divisors is an integer number (7200).

2⁶⁷⁸⁵¹ is an apocalyptic number.

67851 is a deficient number, since it is larger than the sum of its proper divisors (47349).

67851 is a wasteful number, since it uses less digits than its factorization.

67851 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 369 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 67851 is about 260.4822450763. The cubic root of 67851 is about 40.7867171294.

It can be divided in two parts, 6785 and 1, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 67851 in words is "sixty-seven thousand, eight hundred fifty-one".