345853 has 2 divisors, whose sum is σ = 345854. Its totient is φ = 345852.

The previous prime is 345823. The next prime is 345869. The reversal of 345853 is 358543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 257049 + 88804 = 507^2 + 298^2 .

It is a cyclic number.

It is not a de Polignac number, because 345853 - 2¹³ = 337661 is a prime.

It is a super-2 number, since 2×345853² = 239228595218, which contains 22 as substring.

345853 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (345803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172926 + 172927.

It is an arithmetic number, because the mean of its divisors is an integer number (172927).

2³⁴⁵⁸⁵³ is an apocalyptic number.

It is an amenable number.

345853 is a deficient number, since it is larger than the sum of its proper divisors (1).

345853 is an equidigital number, since it uses as much as digits as its factorization.

345853 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7200, while the sum is 28.

The square root of 345853 is about 588.0926797708. The cubic root of 345853 is about 70.1935459958.

The spelling of 345853 in words is "three hundred forty-five thousand, eight hundred fifty-three".