407121 has 24 divisors (see below), whose sum is σ = 650016. Its totient is φ = 224640.

The previous prime is 407119. The next prime is 407137. The reversal of 407121 is 121704.

It is not a de Polignac number, because 407121 - 2¹ = 407119 is a prime.

It is a Curzon number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 407121.

It is not an unprimeable number, because it can be changed into a prime (407191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5541 + ... + 5613.

It is an arithmetic number, because the mean of its divisors is an integer number (27084).

2⁴⁰⁷¹²¹ is an apocalyptic number.

It is an amenable number.

407121 is a deficient number, since it is larger than the sum of its proper divisors (242895).

407121 is a wasteful number, since it uses less digits than its factorization.

407121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 407121 is about 638.0603419740. The cubic root of 407121 is about 74.1152938577.

Adding to 407121 its reverse (121704), we get a palindrome (528825).

It can be divided in two parts, 4071 and 21, that multiplied together give a triangular number (85491 = T₄₁₃).

The spelling of 407121 in words is "four hundred seven thousand, one hundred twenty-one", and thus it is an iban number.