401953 has 2 divisors, whose sum is σ = 401954. Its totient is φ = 401952.

The previous prime is 401939. The next prime is 401957. The reversal of 401953 is 359104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 394384 + 7569 = 628^2 + 87^2 .

It is a cyclic number.

It is not a de Polignac number, because 401953 - 2¹³ = 393761 is a prime.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (401957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200976 + 200977.

It is an arithmetic number, because the mean of its divisors is an integer number (200977).

2⁴⁰¹⁹⁵³ is an apocalyptic number.

It is an amenable number.

401953 is a deficient number, since it is larger than the sum of its proper divisors (1).

401953 is an equidigital number, since it uses as much as digits as its factorization.

401953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 401953 is about 633.9976340650. The cubic root of 401953 is about 73.8003505637.

Subtracting from 401953 its reverse (359104), we obtain a square (42849 = 207²).

The spelling of 401953 in words is "four hundred one thousand, nine hundred fifty-three".