345987 has 12 divisors (see below), whose sum is σ = 513760. Its totient is φ = 224208.

The previous prime is 345979. The next prime is 345997. The reversal of 345987 is 789543.

It is not a de Polignac number, because 345987 - 2³ = 345979 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 345987.

It is not an unprimeable number, because it can be changed into a prime (345907) 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, 187 + ... + 852.

2³⁴⁵⁹⁸⁷ is an apocalyptic number.

345987 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

345987 is a deficient number, since it is larger than the sum of its proper divisors (167773).

345987 is a wasteful number, since it uses less digits than its factorization.

345987 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1079 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 345987 is about 588.2065963588. The cubic root of 345987 is about 70.2026102714.

Subtracting 345987 from its reverse (789543), we obtain a square (443556 = 666²).

The spelling of 345987 in words is "three hundred forty-five thousand, nine hundred eighty-seven".