• 1415² = 2002225 is the smallest square that contains exactly four digits '2'.

---

1415 has 4 divisors (see below), whose sum is σ = 1704. Its totient is φ = 1128.

The previous prime is 1409. The next prime is 1423. The reversal of 1415 is 5141.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 5141 = 53 ⋅97.

It is a cyclic number.

It is not a de Polignac number, because 1415 - 2⁴ = 1399 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 1396 and 1405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 137 + ... + 146.

It is an arithmetic number, because the mean of its divisors is an integer number (426).

2¹⁴¹⁵ is an apocalyptic number.

1415 is a deficient number, since it is larger than the sum of its proper divisors (289).

1415 is an equidigital number, since it uses as much as digits as its factorization.

1415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288.

The product of its digits is 20, while the sum is 11.

The square root of 1415 is about 37.6164857476. The cubic root of 1415 is about 11.2267007507.

Adding to 1415 its reverse (5141), we get a palindrome (6556).

It can be divided in two parts, 14 and 15, that multiplied together give a triangular number (210 = T₂₀).

The spelling of 1415 in words is "one thousand, four hundred fifteen".