693253 has 16 divisors (see below), whose sum is σ = 829440. Its totient is φ = 572400.

The previous prime is 693223. The next prime is 693257. The reversal of 693253 is 352396.

693253 is a nontrivial binomial coefficient, being equal to C(1178, 2).

It is a cyclic number.

It is not a de Polignac number, because 693253 - 2¹⁷ = 562181 is a prime.

It is a Duffinian number.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (693257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6426 + ... + 6532.

It is an arithmetic number, because the mean of its divisors is an integer number (51840).

2⁶⁹³²⁵³ is an apocalyptic number.

693253 is the 1177-th triangular number and also the 589-th hexagonal number.

693253 is the 393-rd centered nonagonal number.

It is an amenable number.

693253 is a deficient number, since it is larger than the sum of its proper divisors (136187).

693253 is a wasteful number, since it uses less digits than its factorization.

693253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168.

The product of its digits is 4860, while the sum is 28.

The square root of 693253 is about 832.6181597827. The cubic root of 693253 is about 88.5042078287.

It can be divided in two parts, 693 and 253, that added together give a triangular number (946 = T₄₃).

The spelling of 693253 in words is "six hundred ninety-three thousand, two hundred fifty-three".