653416 has 8 divisors (see below), whose sum is σ = 1225170. Its totient is φ = 326704.

The previous prime is 653363. The next prime is 653431. The reversal of 653416 is 614356.

653416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 592900 + 60516 = 770^2 + 246^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40831 + ... + 40846.

2⁶⁵³⁴¹⁶ is an apocalyptic number.

It is an amenable number.

653416 is a deficient number, since it is larger than the sum of its proper divisors (571754).

653416 is a wasteful number, since it uses less digits than its factorization.

653416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81683 (or 81679 counting only the distinct ones).

The product of its digits is 2160, while the sum is 25.

The square root of 653416 is about 808.3415119861. The cubic root of 653416 is about 86.7753927996.

Subtracting from 653416 its reverse (614356), we obtain a triangular number (39060 = T₂₇₉).

It can be divided in two parts, 65 and 3416, that added together give a square (3481 = 59²).

The spelling of 653416 in words is "six hundred fifty-three thousand, four hundred sixteen".