345969 has 12 divisors (see below), whose sum is σ = 538356. Its totient is φ = 212832.

The previous prime is 345953. The next prime is 345979. The reversal of 345969 is 969543.

It can be written as a sum of positive squares in 2 ways, for example, as 57600 + 288369 = 240^2 + 537^2 .

It is not a de Polignac number, because 345969 - 2⁴ = 345953 is a prime.

It is a super-2 number, since 2×345969² = 239389097922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (345979) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1362 + ... + 1595.

It is an arithmetic number, because the mean of its divisors is an integer number (44863).

2³⁴⁵⁹⁶⁹ is an apocalyptic number.

345969 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

345969 is a deficient number, since it is larger than the sum of its proper divisors (192387).

345969 is a wasteful number, since it uses less digits than its factorization.

345969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2976 (or 2973 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 345969 is about 588.1912954133. The cubic root of 345969 is about 70.2013928182.

It can be divided in two parts, 34596 and 9, that multiplied together give a square (311364 = 558²).

The spelling of 345969 in words is "three hundred forty-five thousand, nine hundred sixty-nine".