693121 has 16 divisors (see below), whose sum is σ = 842688. Its totient is φ = 561600.

The previous prime is 693103. The next prime is 693127. The reversal of 693121 is 121396.

693121 = 246² + 247² + ... + 256².

It is not a de Polignac number, because 693121 - 2⁵ = 693089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 693092 and 693101.

It is not an unprimeable number, because it can be changed into a prime (693127) 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, 5226 + ... + 5356.

It is an arithmetic number, because the mean of its divisors is an integer number (52668).

2⁶⁹³¹²¹ is an apocalyptic number.

693121 is the 481-st octagonal number.

It is an amenable number.

693121 is a deficient number, since it is larger than the sum of its proper divisors (149567).

693121 is a wasteful number, since it uses less digits than its factorization.

693121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192.

The product of its digits is 324, while the sum is 22.

The square root of 693121 is about 832.5388879806. The cubic root of 693121 is about 88.4985902081.

The spelling of 693121 in words is "six hundred ninety-three thousand, one hundred twenty-one".