684153 has 8 divisors (see below), whose sum is σ = 1013600. Its totient is φ = 456084.

The previous prime is 684127. The next prime is 684157. The reversal of 684153 is 351486.

684153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 684153 - 2⁵ = 684121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 25339 = 684153 / (6 + 8 + 4 + 1 + 5 + 3).

It is a Duffinian number.

684153 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (684157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12643 + ... + 12696.

It is an arithmetic number, because the mean of its divisors is an integer number (126700).

2⁶⁸⁴¹⁵³ is an apocalyptic number.

It is an amenable number.

684153 is a deficient number, since it is larger than the sum of its proper divisors (329447).

684153 is a wasteful number, since it uses less digits than its factorization.

684153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25348 (or 25342 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 684153 is about 827.1354181753. The cubic root of 684153 is about 88.1152501663.

The spelling of 684153 in words is "six hundred eighty-four thousand, one hundred fifty-three".