126401 has 4 divisors (see below), whose sum is σ = 137904. Its totient is φ = 114900.

The previous prime is 126397. The next prime is 126421. The reversal of 126401 is 104621.

126401 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 104621 = 11 ⋅9511.

It is a cyclic number.

It is not a de Polignac number, because 126401 - 2² = 126397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126421) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5735 + ... + 5756.

It is an arithmetic number, because the mean of its divisors is an integer number (34476).

2¹²⁶⁴⁰¹ is an apocalyptic number.

126401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

126401 is a deficient number, since it is larger than the sum of its proper divisors (11503).

126401 is a wasteful number, since it uses less digits than its factorization.

126401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11502.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 126401 is about 355.5291830497. The cubic root of 126401 is about 50.1861064285.

The spelling of 126401 in words is "one hundred twenty-six thousand, four hundred one".